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Finding the Third Proportional to 150,052.50 and 325,016.30

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Solution

The third proportional to 150,052.50 and 325,016.30 is: 703,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052.50 : 325,016.30 = 325,016.30 : x
  2. Step 2: Convert to fraction form
    150,052.50/325,016.30 = 325,016.30/x
  3. Step 3: Cross multiply
    150,052.50x = 325,016.30 × 325,016.30
  4. Step 4: Simplify right side
    150,052.50x = 105,635,593,234.34
  5. Step 5: Solve for x
    x = 105,635,593,234.34/150,052.50
  6. Step 6: Final answer
    x = 703,990.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.